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Vicus: Exploiting local structures to improve network-based analysis of biological data

Fig 1

Four examples of three dimensional manifolds (left column) and their embeddings by global Laplacian (middle column) and the proposed Vicus (right column).

A shows an example of the structure known as jelly roll or Swiss roll which is particularly common in viral proteins. B shows five random non-overlapping clusters in 3D space connected by sparsely measured channels. C shows a toroidal helix containing a circle as its basic geometric shape. D is an example of sampling in 3D space where we sample points from a solid bowl-shaped figure non-uniformly: the top of the bowl is more densely sampled, gradually reducing sampling towards the bottom of the bowl graph. On all the cases, Vicus is able to recover the underlying distributions of the input data more robustly.

Fig 1